Variational inequality problems for total quasi-asymptotically nonexpansive mapping in Hilbert spaces

In this paper, we study variational inequality problems for total quasi-asymptotically nonexpansive and uniformly k-Lipschitzian mappings. Further, we propose an algorithm for solving variational inequality problems and prove the convergence result of the proposed algorithm. The results presented in this paper extend, improve and generalize some recent results announced

A note on the split common fixed point equality problems in Hilbert spaces

We study the split common fixed point equality problems (SCFPEP). Furthermore, we formulate and analyse the algorithms for solving this SCFPEP for the finite family of quasi-nonexpansive operators in Hilbert spaces and shows how it unifies and generalizes previously discussed problems. In the end, we give numerical example that illustrates our theoretical results

Strong Convergence for the Split Feasibility Problem in Real Hilbert Space

In this paper, we study the cyclic algorithm for the split common fixed point problem (SCFPP) and multiple set split feasibility problem (MSSFP). Furthermore we proved the strong convergence for the (SCFPP) and (MSSFP) which extend and improve the result of F. Wang and H.K. Xu [9] from a weak convergence to a strong convergence. Keywords: Convex Feasibility, Split Feasibility, Split Common Fixed Point, Nonexpansive Mapping, Class –  operator, Iterative Algorithm  and Strong Convergence

Application of Finite Markov Chain to a Model of Schooling

In this paper, we focused on the application of finite Markov chain to a model of Schooling. The sample for the study was selected from one Secondary School in Nigeria. Four sets of graduates' data were used. Thus, 474 students were used as the study sample. Primary data were used as the methodology, while the knowledge of finite Markov chain was used to analyse the data collected for the study. Base on the result obtained in this study when compared with the actual values from the actual data, indicated that the model formulated, proves very efficient and can be accepted as suitable for predicting the Academic progress of the sampled school. Keywords: Matrix; Markov chain; Probability vector; Model of schoolin

Strong Convergence of an Algorithm about Strongly Quasi-Nonexpansive Mappings for the Split Common Fixed-Point Problem in Hilbert Space

Based on the recent work by Censor and Segal (2009 J. Convex Anal.16), and inspired by Moudafi (2010 Inverse Problem 26), in this paper, we study the modified algorithm of Yu and Sheng [29] for the strongly quasi - nonexpansive operators to solve the split common fixed-point problem (SCFP) in the framework of Hilbert space. Furthermore we proved the strong convergence for the (SCFPP) by imposing some conditions. Our results extend and improved/developed some recent result announced. Keywords:  Convex Feasibility, Split Feasibility, Split Common Fixed Point, Strongly Quasi-Nonexpansive Operator, Iterative Algorithm and Strong Convergence

Strong convergence for the split common fixed-point problem for total quasi-asymptotically nonexpansive mappings in Hilbert space

In this paper, we study and modify the algorithm of Kraikaew and Saejung for the class of total quasi-asymptotically nonexpansive case so that the strong convergence is guaranteed for the solution of split common fixed-point problems in Hilbert space. Moreover, we justify our result through an example. The results presented in this paper not only extend the result of Kraikaew and Saejung but also extend, improve, and generalize some existing results in the literature